__________ triangles become always similar.

Acute-angled

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Equilateral

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Obtuse-angled

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of the above

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Equilateral
If both triangles are equilateral, so all angles measure $60^{o}$ each.
$Δ A B C \sim Δ P Q R$ ....A.A.A test of similarity

Therefore, all equilateral triangles are always similar.

Suggest Corrections

Similar questions

In a triangle if $s i n^{2} A + s i n^{2} B + s i n^{2} C = 2$ , then triangle is always -

A perpendicular drawn from the vertex of one of the acute angles of a right angled triangle divides the triangle into two triangles similar to each other.

Q. To construct a triangle similar to a given triangle with a scale factor

\frac{3}{5}

, 8 points are to be marked on a ray drawn at an acute angle to one of the sides.

Q. When one acute angle of a triangle is equal to one acute angle of other triangle, and the triangles are right angles, do you think the triangles are similar?

Q. If a triangle

A B C

remain always similar to a given triangle, and if the point

A

be fixed and the point

B

always move along a given straight line, find the locus of the point

C

Join BYJU'S Learning Program

__________ triangles become always similar.

The correct option is B EquilateralIf both triangles are equilateral, so all angles measure 60o each.ΔABC∼ΔPQR ....A.A.A test of similarityTherefore, all equilateral triangles are always similar.

The correct option is B Equilateral
If both triangles are equilateral, so all angles measure $60^{o}$ each.
$Δ A B C \sim Δ P Q R$ ....A.A.A test of similarity

Therefore, all equilateral triangles are always similar.